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groupe de whitehead réduit

Journal of K-Theory (1)

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L'invariant de Suslin en caractéristique positive
Part of
- Whitehead groups and $K_1$
Tim Wouters
Journal:

Journal of K-Theory / Volume 5 / Issue 3 / June 2010

Published online by Cambridge University Press:

08 June 2010, pp. 559-602

Print publication:

June 2010
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For a central simple k-algebra A with indk (A) ∈ k×, Suslin defined a cohomological invariant for SK1 (A) [Sus2]. In this text, we generalise his invariant to any central simple k-algebra using a lift from positive characteristic to characteristic 0. To be able to define the invariant, we use Kato's cohomology of logarithmic differentials [Kat1].